This math topic focuses on determining the domain of functions, specifically the domains of functions involving a square root of a linear function divided by a quadratic function (with real roots). Each problem presents a function and asks students to identify the correct domain represented on a number line. This involves analyzing the conditions under which the function is defined, particularly contemplating the non-negativity of the radicand (the expression under the square root) and ensuring that the quadratic function in the denominator does not equal zero, as these define where the function is real and non-undefined.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.